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Simplifying 15a + -10 = 5a + -40 Reorder the terms: -10 + 15a = 5a + -40 Reorder the terms: -10 + 15a = -40 + 5a Solving -10 + 15a = -40 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -10 + 15a + -5a = -40 + 5a + -5a Combine like terms: 15a + -5a = 10a -10 + 10a = -40 + 5a + -5a Combine like terms: 5a + -5a = 0 -10 + 10a = -40 + 0 -10 + 10a = -40 Add '10' to each side of the equation. -10 + 10 + 10a = -40 + 10 Combine like terms: -10 + 10 = 0 0 + 10a = -40 + 10 10a = -40 + 10 Combine like terms: -40 + 10 = -30 10a = -30 Divide each side by '10'. a = -3 Simplifying a = -3
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